Symmetry Explorations & Activities

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Symmetry is all around us. It can be seen in architecture, wall paper, quilts to name a few. The visual impact of symmetry is amazing.
Mathematics is much more than finding sums, differences, products, and quotients. Mathematics is a way of looking at the world. As a mathematician, you view the world looking for regularity and order or the lack of order and regularity.

  1. Intro and activities for Line (Bilateral) symmetry, Rotational (Radial)
    symmetry2015.jpgsymmetry , and Point symmetrySMART Board file - Symmetry (revised January, 2015) -
    1. Download the SMART Notebook file:
      Symmetry2015Powell.notebook
    2. PDF of the SMART Notebook file if you don't have SMART Notebook software, the free viewer software, or just want the information and a printout of the pages in the file
      SymmetryPrintouts.pdf
    3. Symmetry Lab Worksheets with Answer Key: Download the Word Files:
      SymmetryLabWorksheet.doc
      Symmetry Lab key.doc
  2. An amazing app for the iPad to make symmetric designs and learn about their mathematics - iOrnament
    iOrnament1.jpgiOrnament2.jpg
    1. Get the app here: https://itunes.apple.com/us/app/id534529876?mt=8
    2. Main website: http://www.science-to-touch.com/en/
    3. Facebook page: https://www.facebook.com/IOrnament
    4. Symmetries, Ornaments, and Computers video: https://www.youtube.com/watch?v=4oEkgVxJLD0#t=16
    5. Drawings from iOrnament: https://www.youtube.com/watch?v=3wr06nDufYIg

  3. Symmetry -
    Wallpaper Group Diagrams: http://commons.wikimedia.org/wiki/Wallpaper_group_diagrams
    Wallpaper Images: http://www.clarku.edu/~djoyce/wallpaper/seventeen.html
    7 strip patterns:
    http://sierra.nmsu.edu/morandi/OldWebPages/Math331Spring2003/Symmetry/StripPatterns.jpg
    17 wallpaper patterns:
    http://sierra.nmsu.edu/morandi/OldWebPages/Math331Spring2003/Symmetry/17Tessellations1.jpg
    http://sierra.nmsu.edu/morandi/OldWebPages/Math331Spring2003/Symmetry/17Tessellations2.jpg